# equating ke with gravitational pe ...

#### thebillsfan

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so i know if you equate mv^2/2 with GMm/R you get "escape velocity," with R being radius of the earth.

since GMm/R is a measure of energy, could you do some funky thing where the potential energy of an electric field U=vd could be equated to mv^2/2 such that you now have the escape velocity of an electron from a field or something like that?

#### ezsanche

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so i know if you equate mv^2/2 with GMm/R you get "escape velocity," with R being radius of the earth.

since GMm/R is a measure of energy, could you do some funky thing where the potential energy of an electric field U=vd could be equated to mv^2/2 such that you now have the escape velocity of an electron from a field or something like that?
Kqq/r = 1/2mv^2

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#### thebillsfan

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could you call this the velocity required for the charged particle to leave the field?

#### G1SG2

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could you call this the velocity required for the charged particle to leave the field?
That's the velocity provided by electric force. I think the escape velocity would be different.

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#### thebillsfan

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anyone know what the escape velocity would be?